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SIAMNUM
2010
134views more  SIAMNUM 2010»
13 years 2 months ago
Nonequispaced Hyperbolic Cross Fast Fourier Transform
A straightforward discretisation of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even efficient algorithms like ...
Michael Döhler, Stefan Kunis, Daniel Potts
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 7 months ago
On the fourier tails of bounded functions over the discrete cube
In this paper we consider bounded real-valued functions over the discrete cube, f : {-1, 1}n [-1, 1]. Such functions arise naturally in theoretical computer science, combinatorics...
Irit Dinur, Ehud Friedgut, Guy Kindler, Ryan O'Don...
ASIACRYPT
2001
Springer
13 years 11 months ago
Autocorrelation Coefficients and Correlation Immunity of Boolean Functions
Abstract. We apply autocorrelation and Walsh coefficients for the investigation of correlation immune and resilient Boolean functions. We prove new lower bound for the absolute ind...
Yuriy Tarannikov, Peter Korolev, Anton Botev
ICALP
2009
Springer
14 years 7 months ago
Testing Fourier Dimensionality and Sparsity
We present a range of new results for testing properties of Boolean functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the propert...
Parikshit Gopalan, Ryan O'Donnell, Rocco A. Served...
MFCS
2010
Springer
13 years 5 months ago
Weights of Exact Threshold Functions
We consider Boolean exact threshold functions defined by linear equations, and in general degree d polynomials. We give upper and lower bounds on the maximum magnitude (absolute va...
László Babai, Kristoffer Arnsfelt Ha...